Geodesic
Design of robust gain scheduled controller using $L_2$ gain performance
Kybernetika, Tome 54 (2018) no. 3, pp. 593-609.

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This paper is devoted to robust gain scheduled PID controller design with $L_2$ performance for the linear time varying (LPV) uncertain system with polytopic uncertainties. The novel approach of robust controller design ensures that the obtained design procedure is convex with respect to both plant uncertainties (polytopic system) and gain scheduling parameters and gives less conservative results. Modified design procedure should be used to obtain a robust controller or robust switched controller (ideal, non-ideal switching) with arbitrarily switching algorithm. The effectiveness of the proposed approach is illustrated on the simulation examples.
DOI : 10.14736/kyb-2018-3-0593
Classification : 70E60, 93B36
Keywords: gain scheduled controller; Linear parameter varying systems (LPV); robust controller; switched controller; $L_2$ gain performance 
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     title = {Design of robust gain scheduled controller using $L_2$ gain performance},
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     pages = {593--609},
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     volume = {54},
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Veselý, Vojtech; Ernek, Martin. Design of robust gain scheduled controller using $L_2$ gain performance. Kybernetika, Tome 54 (2018) no. 3, pp. 593-609. doi : 10.14736/kyb-2018-3-0593. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0593/

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